Efficient linear-quadratic filtering

Author

Tseng, Yi-Chyun ; Linebarger, Darel A.

Author_Institution

Erik Jonsson Sch. of Eng. & Comput. Sci., Texas Univ., Richardson, TX, USA

Volume

43

Issue

5

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

397

Lastpage

400

Abstract

We present two approaches to efficient linear-quadratic (LQ) filtering. The first of these is implemented in the frequency domain and requires less computations than the second (time domain) approach. The savings are similar to those obtained by executing linear filtering in the frequency domain with the use of the Fast Fourier Transform (FFT). The one drawback of the frequency domain method is the delay that is induced that is related to FFT length. A time domain method that does not suffer from this delay problem is subsequently derived. Our time domain approach involves rearranging the LQ filtering structure so that the quadratic part of the system consists of a bank of linear filters that can be run in parallel. The inputs to these linear filters are products of the original input signal

Keywords

fast Fourier transforms; filtering theory; frequency-domain analysis; time-domain analysis; Fast Fourier Transform; frequency domain; linear-quadratic filtering; time domain; Delay effects; Digital filters; Fast Fourier transforms; Filter bank; Filtering; Frequency domain analysis; Kernel; Maximum likelihood detection; Nonlinear filters; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.494390

Filename

494390